5. Beginning, μέλλοντι δ ̓ αὐτῷ πολυθύτους τεύχειν σφαγάς, κ. τ. λ. Ending, ἐχθρᾶς ἐχίδνης ἰὸς ὣς ἐδαίνυτο. Trachiniæ, 756-771. 1. Give an account of the political proceedings in which Sophocles took part in his old age. 2. We have an indication of declining dramatic power in the Philoctetes? 3. Give a general description of a Greek theatre. What remains have we to serve as a basis for architectural restorations? 4. State, and account for, the remarkable interchange in period of literary culture between Sparta and Athens. 5. Explain why Greek verbs including a noun, or å, privative, or duc, or εu, and a verbal root, are generally formed in ɛw. 6. Translate the following passage so as to give the full force of the different predicates contained in it :— Translate ἁδ ̓ εὐήρετμος ἔκπαγλ ̓ ἁλία πεπαύμεθ ̓ ἡμεῖς, οὐχ ὅπως σε παύσομεν. LATIN SATIRISTS. MR. POOLE. Translate all the following passages into English Prose : 1. Beginning, Contra, Lævinum, Valeri genus, unde Superbus.... Ending, Audit continuo; Quis homo hic? quo patre natus? HORACE, Sat. lib. 1. sat. vi. 12-30. 2. Beginning, Tostis marcentem squillis recreabis et Afra...... Ending, Incretum, puris circumposuisse catillis. Ibid., lib. II. sat. iv. 58-76. 3. Beginning, Vindicta postquam meus a prætore recessi,. Ending, Frontem de rebus. PERSIUS, Sat. v. 88-104. 4. Beginning, Veram deprendere messem..... JUVENAL, Sat. vii. 112-134. ...... 5. Beginning, Monstro voluptatem egregiam, cui nulla theatra, . . . . Ending, Illa reste cavet. Ibid., Sat. xiv. 256-274. 1.-a. Explain the construction of the clause, "Unius assis non unquam pretio pluris licuisse," in the first passage. b. What is the allusion in the words, "Vindicta postquam meus a prætore recessi?" Horace expresses the same idea differently? Explain the words "Masuri rubrica." The line, "Ut teneat vetitos inscitia debilis actus," has been differently interpreted. All in third passage. c. Explain the line, "Spondet enim Tyrio stlataria purpura filo." What is the allusion in the words "quantum licet?" Quote a parallel for the sense of the word "vexat." All in fourth passage. d. Is "fiscus" in the fifth passage used in its special sense? A passage from Juvenal shows what that special sense is? Explain the words "jactata petauro." 2. Quote Horace's description of the origin of Roman Satire. Point out the distinction of Satires from the earlier "Satura." Merivale remarks that the style of Horace's satire was not unsuited to promote the policy of Augustus ? 3. Compare the opinions of Horace and Juvenal as to moral distinctions; and quote passages to illustrate their views. 4. Give some account of the treatment of literary men and philosophers by Vespasian. 5. Merivale notices a precaution adopted under the Empire against the revolt of the soldiery, which had the directly opposite effect? 6. The policy of Augustus, and of his successors, as to the extension of the rights of citizenship among the subjects of Rome were different. What motives may have influenced each party? 7. Give some account of Piso's conspiracy, and its consequences. Juvenal refers to these occurrences? 8. To what may the encouragement given to "Delatores" be traced? When did this class take its rise? Two circumstances prevented the full weight of the odium falling on the Emperors? 9. In some cases the indicative is used in propositions limited by a condition, supposed not fulfilled; state its force in these different cases. 10. With what limitation is the infinitive used as a subject in Latin ? MR. LONGFIELD. Translate the following passage into Greek Prose :— The death of Darius was a fortunate event for Greece. It deprived the Persians of an able ruler, who possessed an extensive knowledge of men and of affairs, and it gave the Athenians time to form the navy, which proved the salvation of Greece. Xerxes, the son and successor of Darius, was a man of little ability and less experience. Being the favourite son of Atossa, the daughter of the great Cyrus, he had received the education of an Eastern despot, and been surrounded with slaves from his cradle. In person he was the tallest and handsomest man amidst the vast hosts which he led against Greece; but there was nothing in his mind to correspond to this fair exterior. His character was marked by faint-hearted timidity and childish vanity. Such was the monarch upon whom now devolved the execution of the schemes of Darius.-DR. Ŵ. SMITH, Translate the following passage into Greek Tragic Trimeters :-- If my obedience and blameless life, I do not love him! On my knees I beg thee To use no violence, nor to do in haste Translate the following passage into Latin Prose :— LONGFELLOW. Let us not, in the pride of our superior knowledge, turn with contempt from the follies of our predecessors. The study of the errors into which great men have fallen in the pursuit of truth can never be uninstructive. As the man looks back to the days of his childhood and his youth, and recalls to his mind the strange notions and false opinions that swayed his actions at that time, that he may wonder at them; so should society, for its edification, look back to the ages fled. He is but a superficial thinker, who would despise and refuse to hear of them, merely because they are absurd. No man is so wise but that he may learn some wisdom from his past errors, either of thought or action; and no society has made such advances as to be capable of no improvement from the retrospect of its past folly and credulity. And not only is such a study instructive he who reads for amusement only will find no chapter in the annals of the human mind more amusing than this. It opens out the whole realm of fiction-the wild, the fantastic, and the wonderful, and all the immense variety of things "that are not and cannot be; but that have been imagined and believed."-MACKAY's Popular Delusions. : Translate the following passage into Latin Hexameters :— Over the sea, past Crete, on the Syrian shore to the southward, Dwells in the well-tilled lowland a dark-haired Æthiop people, Skilful with needle and loom, and the arts of the dyer and carver, Skilful, but feeble of heart; for they know not the lords of Olympus, Lovers of men; neither broad-browed Zeus, nor Pallas Athené, Teacher of wisdom to heroes, bestower of might in the battle; Share not the cunning of Hermes, nor list to the songs of Apollo. Fearing the stars of the sky, and the roll of the blue salt water, Fearing all things that have life in the womb of the seas and the rivers, Eating no fish to this day, nor ploughing the main like the Phonics, Manful with black-beaked ships, they abide in a sorrowful region, Vexed with the earth-quake, and flame, and the sea-floods, scourge of Pofeidon. KINGSLEY. SENIOR FRESHMEN. Mathematics. A. MR. STUBBS. 1. If 2a, 26, 27, 28 be the eccentric angles of four points on a central conic, find the equations of the diagonals of the quadrilateral formed by their tangents. 2. Find the locus of the intersection of tangents at points which subtend a given angle at the focus of an ellipse or hyperbola. 3. Prove that the directrix of a parabola touching three lines passes through the point of intersection of the perpendiculars of the triangle which they form with each other. 4. If tan-1x = π 2 z, prove by Taylor's theorem that h tan-1(x+h) = tan ̄1x + sin z. sin z- -sin 2z.sin 2z I 5. Find the scale of relation and the sum of the recurring series, 1+2x+3x2+9x3 + 23xa + 58x5 + 148x6 + 377x7 + &c., when the coefficient of each term depends on those of the three terms which precede it. 6. Prove by differentiating that π sin31√1 + 22 = ( 2kx + — ) - √ = 1 log (* + √√/ 1 + 2°). 2 8. Develop y sin ̄1x by Maclaurin's theorem. 9. Given of a spherical triangle two sides and the contained angle; required the logarithmic formula for the remaining two angles. 10. The intersection of perpendiculars of a triangle circumscribing a parabola is a point on the directrix; required the reciprocal of this property. II. Tangents to an ellipse or hyperbola are drawn at the extremities of conjugate diameters; required the locus of their point of intersection. 12. Form the general equation of a conic having double contact with two given circles; and give its geometrical signification. MR. LESLIE. 13. Find the locus of the pole of a given line λa+uß+vy, with regard to a conic which touches four fixed lines la+mß±ny. 14. Given in position two conjugate diameters of an ellipse, and the sum of their squares; find its envelope. 15. Show from the equation of the circle circumscribing the triangle formed by three tangents to a parabola that it passes through the focus. 16. Differentiate the expressions 17. Prove that if A, B, C be the angles of a plane triangle, 18. Find the sum of n terms of the series x sin 0 + x2 sin 20 + x3 sin 30 + &c. B. MR. STUBBS. 1. Prove that the tangent at a given point M of an ellipse may be found by drawing an ordinate RPQ to the circle on the axis major of the ellipse through the point P where the leg of the eccentric angle for the given point cuts the ellipse, joining the centre C of this circle with the extremity of the ordinate so drawn, measuring on this line CQ, a portion CS equal to CP, and joining SM, SM will be a tangent at M, and CS perpendicular to it. 2. A chord of a constant length is drawn in a given circle; find the locus of the intersection of lines at its extremities which are drawn parallel to two given lines. 3. Expand log (1 − x + x2) in a series of powers of x by Maclaurin's theorem. 4. If the sum of the yth powers of the roots of the equation x + x + I be expressed by Sr, and the sum of the rth powers of their reciprocals by Er, prove that Sn-1-Sn = 1, and En-1-Σn=n-2 (− 1)”. 6. Given that y= a cos (log x) + b sin (log x), prove that |